Abstract
All examples of σ-slicely continuous maps are connected somehow with LUR Banach spaces. It is clear that if x is a denting point of a set D and Φ is a norm continuous map at x then Φ is slicely continuous at x. Hence if X is a LUR normed space then every norm continuous map Φ on B X is slicely continuous on S X .
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© 2009 Springer-Verlag Berlin Heidelberg
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Moltó, A., Orihuela, J., Troyanski, S., Valdivia, M. (2009). σ-Slicely Continuous Maps. In: A Nonlinear Transfer Technique for Renorming. Lecture Notes in Mathematics, vol 1951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85031-1_4
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DOI: https://doi.org/10.1007/978-3-540-85031-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85030-4
Online ISBN: 978-3-540-85031-1
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